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The relevance of DEA benchmarking information and the least-distance measure: comment. (English) Zbl 1201.65001
Summary: Recently, in a Data Envelopment Analysis (DEA) framework, Ch. Baek and J.-D. Lee [Math. Comput. Modelling 49, No. 1-2, 265–275 (2009; Zbl 1165.90484)] introduced a weighted Least-Distance Efficiency Measure to obtain the “shortest” projection from a considered unit to the strongly efficient production frontier. The mentioned authors tried to show that the proposed measure is well defined. Unfortunately, they did not succeed, because it lacks monotonicity, as we will show in what follows.

MSC:
65-04 Software, source code, etc. for problems pertaining to numerical analysis
90B50 Management decision making, including multiple objectives
34K13 Periodic solutions to functional-differential equations
65L05 Numerical methods for initial value problems
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